Answer: The box is 13,176 cubic inches larger than originally planned.
The side lengths turned out to be 6 inches longer than the 24 inches originally planned.
Step-by-step explanation:
To find the intended volume, "cube" 24 (24×24×24)
[tex]24^{3}= 13824[/tex]
To find the difference, subtract 13,824 from 27,000
27000 - 13824 = 13176
To find the actual side lengths of the box that was built take the cube root of 27000.
[tex]\sqrt[3]{27000}=30[/tex]
To find out how much longer, subtract 24 from 30.
30 - 24 = 6
